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Finding the Fourth Proportional to 20,722.67, 31,098.35 and 8,241.40

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Solution

The fourth proportional to 20,722.67, 31,098.35 and 8,241.40 is: 12,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,722.67 : 31,098.35 = 8,241.40 : x
  2. Step 2: Convert to fraction form
    20,722.67/31,098.35 = 8,241.40/x
  3. Step 3: Cross multiply
    20,722.67x = 31,098.35 × 8,241.40
  4. Step 4: Simplify right side
    20,722.67x = 256,293,941.69
  5. Step 5: Solve for x
    x = 256,293,941.69/20,722.67
  6. Step 6: Final answer
    x = 12,367.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.